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A107658 Coefficients of 6th root of theta series of Coxeter-Todd lattice K_{12} (see A004010). 3
1, 0, 126, 672, -36288, -413280, 15087870, 275661792, -6846707322, -186737716704, 3093536396160, 126405712075104, -1274633447433024, -84873293805379968, 385697576191762044, 56246329449791661600, 31646424393253329408 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..693

N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

MATHEMATICA

terms = 17; QP = QPochhammer; s = ((QP[q]^18*(4 - 4*(1 + (9*q*QP[q^9]^3) / QP[q]^3)^3 + 3*(1 + (9*q*QP[q^9]^3)/QP[q]^3)^6))/(3*QP[q^3]^6))^(1/6) + O[q]^terms; CoefficientList[s, q] (* Jean-Fran├žois Alcover, Jul 08 2017, after Michael Somos *)

CROSSREFS

Cf. A004010.

Sequence in context: A165023 A186825 A186817 * A181254 A004008 A292981

Adjacent sequences:  A107655 A107656 A107657 * A107659 A107660 A107661

KEYWORD

sign

AUTHOR

N. J. A. Sloane and Michael Somos, Jun 07 2005

STATUS

approved

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Last modified May 22 05:03 EDT 2019. Contains 323473 sequences. (Running on oeis4.)